Finite Group Databasebeta

← Group #12067006

Character table — Group #12067006

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125
size111122222222222222224444444444444444444444444444444888888888888888888888888888810101010101010101616161616161616161616161616161620202020202020202020202020202020404040404040
order1222222222445510101010101044488888888101010101010101010101010202020202020202022444444202020204040404040404040404040404040404022224444101010102020202020202020202020204444444488888888224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ511111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1
χ611111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111
χ711111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-111
χ811111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1
χ9111111-1-1-1-1-1-11111111111-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-11111-1-1-1-1iiii−i−i−i−i1-11-1ii−i−iiiii−i−i−i−i1-11-1i−i
χ10111111-1-1-1-1-1-11111111111-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1ii−i−i11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1111111-1-1-1-1iiii−i−i−i−i-11-11−i−iii−i−i−i−iiiii-11-11−ii
χ11111111-1-1-1-1-1-11111111111-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1-1-1-1-11111−i−i−i−iiiii1-11-1−i−iiiiiii−i−i−i−i-11-11−ii
χ12111111-1-1-1-1-1-11111111111-1iiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111−i−iii11-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111-1-1-1-11111−i−i−i−iiiii-11-11ii−i−i−i−i−i−iiiii1-11-1i−i
χ13111111-1-1-1-1-1-11111111111-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-11111-1-1-1-1−i−i−i−iiiii1-11-1−i−iii−i−i−i−iiiii1-11-1−ii
χ14111111-1-1-1-1-1-11111111111-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1−i−iii11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1111111-1-1-1-1−i−i−i−iiiii-11-11ii−i−iiiii−i−i−i−i-11-11i−i
χ15111111-1-1-1-1-1-11111111111-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1-1-1-1-11111iiii−i−i−i−i1-11-1ii−i−i−i−i−i−iiiii-11-11i−i
χ16111111-1-1-1-1-1-11111111111-1−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111ii−i−i11-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111-1-1-1-11111iiii−i−i−i−i-11-11−i−iiiiiii−i−i−i−i1-11-1−ii
χ171111-1-111-1-1-1-1111111111-11ii−i−iii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−ii−i1111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-111-1-1ii−i−iii−i−i-111-1ii−i−iii−i−iii−i−i11-1-1−ii
χ181111-1-111-1-1-1-1111111111-11ii−i−iii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1i−ii−i1111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-111-1-111-1-1ii−i−iii−i−i1-1-11−i−iii−i−iii−i−iii-1-111i−i
χ191111-1-111-1-1-1-1111111111-11ii−i−iii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−ii−ii1111iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-111-1-111-1-111−i−iii−i−iii-111-1−i−iiiii−i−iii−i−i-1-111i−i
χ201111-1-111-1-1-1-1111111111-11ii−i−iii−i−i-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11−ii−ii1111iiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111-1-111−i−iii−i−iii1-1-11ii−i−i−i−iii−i−iii11-1-1−ii
χ211111-1-111-1-1-1-1111111111-11−i−iii−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii1111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-111-1-1−i−iii−i−iii-111-1−i−iii−i−iii−i−iii11-1-1i−i
χ221111-1-111-1-1-1-1111111111-11−i−iii−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1−ii−ii1111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-111-1-111-1-1−i−iii−i−iii1-1-11ii−i−iii−i−iii−i−i-1-111−ii
χ231111-1-111-1-1-1-1111111111-11−i−iii−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−ii−i1111−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-111-1-111-1-111ii−i−iii−i−i-111-1ii−i−i−i−iii−i−iii-1-111−ii
χ241111-1-111-1-1-1-1111111111-11−i−iii−i−iii-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11i−ii−i1111−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111-1-111ii−i−iii−i−i1-1-11−i−iiiii−i−iii−i−i11-1-1i−i
χ251111-1-1-1-11111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111111111-1-1-1-1111-1-11-1-1
χ261111-1-1-1-11111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-1-111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-111-111
χ271111-1-1-1-11111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-111-111-111
χ281111-1-1-1-11111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-111-1-11111-1-11111-1-11-1-11-1-1
χ291111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-111-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-11-1-1111
χ301111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111-1-11-111-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-111-1-1111111-1-1-1-111-111-1-1-1
χ311111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1-1111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111-1-1111111-1-11111-1-1-111-1-1-1
χ321111-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-111-11-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-1111-1-1111
χ33222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ34222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222222222222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+521−521+521−521+521−521+521−521+521−521+521−521+520000000000000000000000
χ35222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-2−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−521−521+521−521+521−521+521−521+520000000000000000000000
χ36222222222222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222-2-2-2-2-2-2-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52-2-2-2-22222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000000001−521+521−521+521−521+521−521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−520000000000000000000000
χ37222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ38222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5222222222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−521+521−521+521−521+521−521+521−521+521−521+521−520000000000000000000000
χ39222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-2−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+521+521−521+521−521+521−521+521−520000000000000000000000
χ40222222222222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222-2-2-2-2-2-2-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-22222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+520000000000000000000000
χ412222222222-2-222222222-2-2-200000000222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000222222220000000000000000-2-2-2-2000000000000000000
χ422222222222-2-222222222-2-2-200000000222222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000002222000000000000000000
χ43222222-2-2-2-22222222222-2-22000000002222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-222000000000000000022-2-222-2-20000000000000000-22-22000000000000000000
χ44222222-2-2-2-22222222222-2-22000000002222-2-2-2-2-2-2-2-2-2-2-2-2222200000000-2-2220000000000000000-2-222-2-22200000000000000002-22-2000000000000000000
χ45222222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-22i2i2i2i−2i−2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-22i2i−2i−2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ1400000000−1+52−1−52−1+52−1−521−521+521−521+52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000000000
χ46222222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-22i2i2i2i−2i−2i−2i−2i−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-222−2i−2i2i2i−1+52−1−521−521+52−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14000000001−521+521−521+52−1+52−1−52−1+52−1−52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000000000
χ47222222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2−2i−2i−2i−2i2i2i2i2i−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+5222-2-2−2i−2i2i2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ1400000000−1+52−1−52−1+52−1−521−521+521−521+52ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ14−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ140000000000000000000000
χ48222222-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5222-2−2i−2i−2i−2i2i2i2i2i−1+52−1+52−1−52−1−521−521−521+521+521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+52-2-2222i2i−2i−2i−1+52−1−521−521+52ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14ζ22+ζ38ζ22+ζ38ζ6+ζ14ζ6+ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14−ζ22−ζ38−ζ22−ζ38−ζ6−ζ14−ζ6−ζ14000000001−521+521−521+52−1+52−1−52−1+52−1−52−ζ22−ζ38−ζ6−ζ14−ζ22−ζ38−ζ6−ζ14ζ22+ζ38ζ6+ζ14ζ22+ζ38ζ6+ζ140000000000000000000000
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Here ζ is a primitive root of unity of order 40 (ζ40 = 1); i = ζ10.